Physics

Physics

Problem

A warehouse wall of area 200 m2200\,\text{m}^2 originally has 2 cm2\,\text{cm} of insulation with thermal conductivity 0.08 W m−1K−10.08\,\text{W\,m}^{-1}\text{K}^{-1}. It is replaced by 5 cm5\,\text{cm} of insulation whose thermal conductivity is 0.04 W m−1K−10.04\,\text{W\,m}^{-1}\text{K}^{-1}. The indoor–outdoor temperature difference is maintained at 15 K15\,\text{K} for 180180 days each year. If electricity costs Rs 66 per kWh, the annual saving in heating cost due to the new insulation is closest to a) Rs 1.6×1051.6\times10^{5} b) Rs 7.5×1057.5\times10^{5} c) Rs 2.5×1052.5\times10^{5} d) Rs 4.1×1044.1\times10^{4}

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